Grants per year

## Personal profile

### Research Interests

Non-commutative geometry, index theory, microlocal analysis, deformation quantization, mathematical physics, and sympletic geometry.

### Education/Academic qualification

Pure Mathematics, PhD, Moscow State University, USSR, Moscow

… → 1987

Undergraduate Studies, Kiev State University, USSR, Kiev

… → 1980

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## Grants 2003 2020

## Emphasis Year in Noncommutative Geometry

Tamarkin, D. E. & Tsygan, B. L.

3/1/19 → 2/29/20

Project: Research project

## Emphasis Year in Algebraic and Smooth Microlocal Analysis

Tamarkin, D. E., Tsygan, B. L., Wunsch, J. & Zelditch, S. M.

9/1/11 → 8/31/13

Project: Research project

## Summer School on Noncommutative Geometry-Participant Support Costs

8/1/10 → 7/31/11

Project: Research project

## Noncommutative Geometry, Microlocal Analysis, Index Theorems and Symplectic Geometry

9/15/09 → 8/31/12

Project: Research project

## Research Output 1983 2018

## A microlocal category associated to a symplectic manifold

Tsygan, B., Jan 1 2018,*Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013.*Hitrik, M., Tamarkin, D., Tsygan, B. & Zelditch, S. (eds.). Springer New York LLC, p. 225-337 113 p. (Springer Proceedings in Mathematics and Statistics; vol. 269).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

## Preface

Hitrik, M., Tamarkin, D. E., Tsygan, B. L. & Zelditch, S. M., Jan 1 2018, In : Springer Proceedings in Mathematics and Statistics. 269, p. v-XivResearch output: Contribution to journal › Editorial

## On quasi-classical limits of DQ-algebroids

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., Jan 1 2017, In : Compositio Mathematica. 153, 1, p. 41-67 27 p.Research output: Contribution to journal › Article

## Deligne groupoid revisited

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B. L., Jul 7 2015, In : Theory and Applications of Categories. 30, p. 1001-1016 16 p., 29.Research output: Contribution to journal › Article

## Formality theorem for gerbes

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., Mar 9 2015, In : Advances in Mathematics. 273, p. 215-241 27 p.Research output: Contribution to journal › Article